The KAM theorem with a large perturbation and application to the network of Duffing oscillators

DOI10.1007/s11425-022-2001-4OpenAlexW4309488932MaRDI QIDQ2688128

Yanyan Li

Publication date: 9 March 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05898

zbMATH Keywords

Hamiltonian systemKAM theoremLagrange stabilityinvariant torus

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (1)

A KAM theorem with large twist and finite smooth large perturbation

Cites Work

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• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• Quasiperiodic motions in superquadratic time-periodic potentials
• Exponential stability for time dependent potentials
• Invariant tori of Duffing-type equations
• Quasiperiodic solutions of higher dimensional Duffing's equations via the KAM theorem.
• KAM theory for particles in periodic potentials
• Invariant curves and time-dependent potentials
• Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• A magnetoelastic strange attractor
• Chimera states in a Duffing oscillators chain coupled to nearest neighbors

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